How to prove cosx=sinxcotx

Answer 1

To prove the equation cos(x) = sin(x)cot(x), we can use the definitions of the trigonometric functions.

First, let's rewrite the right side of the equation using the definitions:

sin(x)cot(x) = sin(x)(cos(x)/sin(x)) = cos(x)

Now, we need to show that cos(x) on the left side is equal to cos(x) on the right side.

Since cos(x) is equal to cos(x), we have successfully proven that cos(x) = sin(x)cot(x).